212002202212101 has 120 divisors (see below), whose sum is σ = 369788644409976. Its totient is φ = 120687581871360.

The previous prime is 212002202212019. The next prime is 212002202212127. The reversal of 212002202212101 is 101212202200212.

It is a happy number.

212002202212101 is a `hidden beast` number, since 2 + 1 + 200 + 220 + 221 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76324667487201 + 135677534724900 = 8736399^2 + 11648070^2 .

It is not a de Polignac number, because 212002202212101 - 2⁷ = 212002202211973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002202212501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9715501771 + ... + 9715523591.

Almost surely, 2^{212002202212101} is an apocalyptic number.

212002202212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212002202212101 is a deficient number, since it is larger than the sum of its proper divisors (157786442197875).

212002202212101 is a wasteful number, since it uses less digits than its factorization.

212002202212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30961 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212002202212101 its reverse (101212202200212), we get a palindrome (313214404412313).

The spelling of 212002202212101 in words is "two hundred twelve trillion, two billion, two hundred two million, two hundred twelve thousand, one hundred one".